SOLUTION: A chord 24 inches long is 5 inches from the center of a circle. What is the radius of the circle to the nearest tenth of an inch? Please explain how you go the answer because I don

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Question 427376: A chord 24 inches long is 5 inches from the center of a circle. What is the radius of the circle to the nearest tenth of an inch? Please explain how you go the answer because I don't understand this question at all.
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Chord and two radius joining the endpoint of chord and center form an isosceles triangle.

the line joining the center and midpoint of chord form a right angle on chord.

by Pythagoras theorem.

( half of chord)^2 + (distance between chord and center)^2 = radius^2
=> (12)^2 + 5^2 = radius^2

=> radius ^2 = 169

so, radius = 13 inches.